Last modified on 1 November 2014, at 20:06

Lebesgue measure

EnglishEdit

Wikipedia has an article on:

Wikipedia

PronunciationEdit

  • (US) IPA(key): /ləˈbɛːɡ ˈmɛ.ʒɚ/

NounEdit

Lebesgue measure (plural Lebesgue measures)

  1. (analysis) A unique complete translation-invariant measure for the σ-algebra which contains all k-cells in a given Euclidean space, and which assigns a measure to each k-cell which is equal to that k-cell's volume (as defined in Euclidean geometry: i.e., the volume of the k-cell equals the product of the lengths of its sides).

HypernymsEdit